I found one "Green Mountain Boys" here but it doesn't have the same words.
--Mbo
GREEN MOUNTAIN BOYS
As recorded by Bill Bonyun on "Who Built America: American History through Its Folksongs" (1950)1. Oh, the Green Mountain boys came down, down, down,
Down from their green, green hills.
For the sake of their freedom, their only, only joy,
They came down from their green, green hills.CHORUS: Oh, Vermont is a land where a man is just a man,
No matter his name or creed.
That's why the Green Mountain boys came down, down, down,
For the sake of their green, green hills.2. Oh the green, green hills were hushéd down with snow,
And the green, green glens were cold,
But for Allen and his boys 'twas the finest time to go,
Every trail was a friend of old. CHORUS